1183145566320 has 320 divisors, whose sum is σ = 4329139584000. Its totient is φ = 296156611584.

The previous prime is 1183145566313. The next prime is 1183145566451. The reversal of 1183145566320 is 236655413811.

1183145566320 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 1 + 4 + 5 + 5 + 6 + 632 + 0 = 666.

It is a super-2 number, since 2×1183145566320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4341117 + ... + 4605603.

It is an arithmetic number, because the mean of its divisors is an integer number (13528561200).

Almost surely, 2^{1183145566320} is an apocalyptic number.

1183145566320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1183145566320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164569792000).

1183145566320 is an abundant number, since it is smaller than the sum of its proper divisors (3145994017680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1183145566320 is a wasteful number, since it uses less digits than its factorization.

1183145566320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264637 (or 264625 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1183145566320 in words is "one trillion, one hundred eighty-three billion, one hundred forty-five million, five hundred sixty-six thousand, three hundred twenty".